(1) 3910 : 9660 : 16490 → 391 : 966 : 1649. The highest consequent is 1649.
(2) Total work time = 10 hours 45 minutes = 645 minutes. Break time = 45 + 15 + 15 = 75 minutes. Ratio = 645 : 75 = 43 : 5.
(3) The greatest common divisor (GCD) of the antecedent and consequent.
(4) Right answers = (11/10) × 40 = 44.
(5) Alisha’s salary = 36800 + 24000 = 60800. Ratio = 36800 : 60800 = 23 : 38.
(6) Boys = 1150 - 600 = 550. Ratio = 550 : 600 = 11 : 12.
(7) Consequent.
(8) Perimeter = 2×(25+45) = 140 cm. Ratio = 25 : 140 = 5 : 28.
(9) Rajesh’s speed = 180/6 = 30 km/h. Sarika’s speed = 222/6 = 37 km/h. Ratio = 30 : 37.
(10) Runs needed to win = 79 - 35 = 44. Ratio = 35 : 44 → not listed; closest match is 7:9 (since 35:45 = 7:9), but correct ratio is 35:44. However, since 35:44 is not an option and 7:9 is approximately 35:45, the intended answer is likely d. 7:9.
Parent Tip: Review the logic above to help your child master the concept of proportion worksheet 6th grade.